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Simplifying 5(-1x + 4) = 5x + 40 Reorder the terms: 5(4 + -1x) = 5x + 40 (4 * 5 + -1x * 5) = 5x + 40 (20 + -5x) = 5x + 40 Reorder the terms: 20 + -5x = 40 + 5x Solving 20 + -5x = 40 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 20 + -5x + -5x = 40 + 5x + -5x Combine like terms: -5x + -5x = -10x 20 + -10x = 40 + 5x + -5x Combine like terms: 5x + -5x = 0 20 + -10x = 40 + 0 20 + -10x = 40 Add '-20' to each side of the equation. 20 + -20 + -10x = 40 + -20 Combine like terms: 20 + -20 = 0 0 + -10x = 40 + -20 -10x = 40 + -20 Combine like terms: 40 + -20 = 20 -10x = 20 Divide each side by '-10'. x = -2 Simplifying x = -2
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